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VECTORIAL STRUCTURE OF A PHASE-FLIPPED GAUSS BEAM IN THE FAR FIELD

By J. Li, Y. Chen, S. Xu, Y. Wang, M. Zhou, Q. Zhao, Y. Xin, and F. Chen

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Abstract:
Based on the vectorial angular spectrum representation and the method of stationary phase, internal vectorial structures of a phase-flipped Gauss (PFG) beam diffracting in the far field are derived in analytical forms. The energy flux for the TE term, TM term and the whole beam are derived and depicted by numerical examples. Influences of the f parameter on the whole energy flux distributions are analyzed. Discrepancies of the whole energy flux distributions between the paraxial and non-paraxial cases are shown in detailed manners. Furthermore, influences of the f parameter on discrepancies between two cases are also studied.

Citation:
J. Li, Y. Chen, S. Xu, Y. Wang, M. Zhou, Q. Zhao, Y. Xin, and F. Chen, "Vectorial Structure of a Phase-Flipped Gauss Beam in the Far Field," Progress In Electromagnetics Research B, Vol. 26, 237-256, 2010.
doi:10.2528/PIERB10082509

References:
1. Delaubert, V., D. A. Shaddock, P. K. Lam, B. C. Buchler, H. Bachor, and D. E. McClelland, "Generation of a phase-fiipped Gaussian mode for optical measurements," J. Opt. A: Pure Appl. Opt., Vol. 4, 393-399, 2002.
doi:10.1088/1464-4258/4/4/305

2. Treps, N., U. Andersen, B. Buchler, P. K. Lam, A. Maitre, H. Bachor, and C. Fabre, "Surpassing the standard quantum limit for optical imaging using nonclassical multimode light," Phys. Rev. Lett., Vol. 20, 203601, 2002.
doi:10.1103/PhysRevLett.88.203601

3. Banerji, J., "Propagation of a phase flipped Gaussian beam through a paraxial optical ABCD system," Opt. Commun., Vol. 258, 1-8, 2006.
doi:10.1016/j.optcom.2005.07.054

4. Gao, Z. and B. Lü, "Non-paraxial propagation of phase-flipped Gaussian beams," Chin. Phys. B, Vol. 17, 943-949, 2008.
doi:10.1088/1674-1056/17/3/033

5. Gao, Z. and B. Lü, "Phase-flipped Hermite-Gaussian beams and their propagation beyond the paraxial approximation," Opt. Commun., Vol. 279, 130-140, 2007.
doi:10.1016/j.optcom.2007.07.016

6. Herrero, R. M., P. M. Mejias, S. Bosch, and A. Carnicer, "Vectorial structure of non-paraxial electromagnetic beams," J. Opt. Soc. Am. A, Vol. 18, 1678-1680, 2001.
doi:10.1364/JOSAA.18.001678

7. Mejias, P. M., R. M. Herrero, G. Piquero, and J. M. Movilla, "Parametric characterization of the spatial structure of non-uniformly polarized laser beams," Prog. Quantum Electron., Vol. 26, 65-130, 2002.
doi:10.1016/S0079-6727(02)00003-4

8. Guo, H., J. Chen, and S. Zhuang, "Vector plane wave spectrum of an arbitrary polarized electromagnetic wave," Opt. Express, Vol. 14, 2095-2100, 2006.
doi:10.1364/OE.14.002095

9. Zhou, G., "Analytical vectorial structure of Laguerre-Gaussian beam in the far field," Opt. Lett., Vol. 31, 2616-2618, 2006.
doi:10.1364/OL.31.002616

10. Deng, D. and Q. Guo, "Analytical vectorial structure of radially polarized light beams," Opt. Lett., Vol. 32, 2711-2713, 2007.
doi:10.1364/OL.32.002711

11. Zhou, G., "Far-field structure of a linearly polarized plane wave diffracted by a rectangular aperture," Opt. Laser Technol., Vol. 41, 504-508, 2009.
doi:10.1016/j.optlastec.2008.07.005

12. Liu, D. and Z. Zhou, "Analytical vectorial structure of the anomalous hollow beam in the far field," Opt. Laser Technol., Vol. 42, 640-646, 2010.
doi:10.1016/j.optlastec.2009.11.003

13. Li, J., Y. Chen, Y. Xin, M. Zhou, and S. Xu, "Vectorial structural characteristics of four-petal Gaussian beams in the far field," Eur. Phys. J. Appl. Phys., Vol. 50, 30702, 2010.
doi:10.1051/epjap/2010051

14. Zhou, G., "Analytical vectorial structure of controllable dark-hollow beams in the far field," J. Opt. Soc. Am. A, Vol. 26, 1654-1660, 2009.
doi:10.1364/JOSAA.26.001654

15. Zhou, G. and F. Liu, "Far field structural characteristics of cosh-Gaussian beam," Opt. Laser Technol., Vol. 40, 302-308, 2008.
doi:10.1016/j.optlastec.2007.05.004

16. Li, J., Y. Chen, S. Xu, Y. Wang, M. Zhou, Q. Zhao, Y. Xin, and F. Chen, "Analytical vectorial structure of Hermite-cosine-Gaussian beam in the far field," Opt. Laser Technol., Vol. 43, 152-157, 2010.
doi:10.1016/j.optlastec.2010.06.005

17. Tang, H., X. Li, G. Zhou, and K. Zhu, "Vectorial structure of helical hollow Gaussian beams in the far field," Opt. Commun., Vol. 282, 478-481, 2009.
doi:10.1016/j.optcom.2008.10.054

18. Zhou, G. and J. Zheng, "Vectorial structure of Hermite-Laguerre-Gaussian beam in the far field," Opt. Laser Technol., Vol. 40, 858-863, 2008.
doi:10.1016/j.optlastec.2007.11.003

19. Carter, W. H., "Electromagnetic field of a Gaussian beam with an elliptical cross section," J. Opt. Soc. Am., Vol. 62, 1195-1201, 1972.
doi:10.1364/JOSA.62.001195

20. Mandel, L. and E. Wolf, Optical Coherence and Quantum Optics, Cambridge U. Press, Cambridge, 1995.

21. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Dover, 1972.

22. Nemoto, S., "Nonparaxial Gaussian beams," Appl. Opt., Vol. 29, 1940-1946, 1990.
doi:10.1364/AO.29.001940

23. Mansuripur, M., "Distribution of light at and near the focus of high-numerical-aperture objectives," J. Opt. Soc. Am. A, Vol. 3, 2086-2093, 1986.
doi:10.1364/JOSAA.3.002086

24. Rohrbach, A. and E. H. K. Stelzer, "Trapping forces, force constants, and potential depths for dielectric spheres in the presence of spherical aberrations," Appl. Opt., Vol. 41, 2494-2507, 2002.
doi:10.1364/AO.41.002494

25. Leutenegger, M., R. Rao, R. A. Leitgeb, and T. Lasser, "Fast focus field calculations," Opt. Express, Vol. 14, 11277-11291, 2006.
doi:10.1364/OE.14.011277

26. Boruah, B. R. and M. A. A. Neil, "Focal field computation of an arbitrary polarized beam using fast Fourier transforms," Opt. Commun., Vol. 282, 4660-4667, 2009.
doi:10.1016/j.optcom.2009.09.019


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